Cryptography and Coding: 15th IMA International Conference, by Jens Groth

By Jens Groth

This ebook constitutes the complaints of the fifteenth IMA foreign convention on Cryptography and Coding, IMACC 2015, held at Oxford, united kingdom, in December 2015. The 18 papers awarded including 1 invited speak have been conscientiously reviewed and chosen from 36 submissions. The scope of the convention was once on following themes: authentication, symmetric cryptography, 2-party computation, codes, Boolean capabilities, info thought, and leakage resilience.

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Extra resources for Cryptography and Coding: 15th IMA International Conference, IMACC 2015, Oxford, UK, December 15-17, 2015. Proceedings (Lecture Notes in Computer Science)

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In MPKCs multivariate polynomials can be used for both encryption schemes and signature schemes, and encryption schemes can often be converted to signature schemes, but here we shall focus on signature schemes only. The public key of a multivariate signature scheme is a specially designed polynomial map m n F : Fnq → Fm q , a message is a vector y ∈ Fq and a signature is a vector x ∈ Fq . Given any message y, the signer need to solve the equation F (x) = y using the trapdoor to find a solution as a signature x.

If we define (2) hc (r) := r, c , where c ∈ Zλp and r ∈ H λ for H ⊂ Zp , then the following corollary is obvious. Corollary 1. Consider the hash function family H defined by Eq. 2, and let Φ be a set of δ-hard-to-invert functions. Then, for all φ ∈ Φ , and all polynomial time adversaries A, we have (id,φ )-cis AdvH,A (λ) < 3 512δλp3 . As highlighted above, CIS hash functions share interesting connections with RKA-secure primitives. In fact, [14] proposed a general approach for obtaining RKA-security via a CIS hash function.

E(pk, m; φj (ri )) return c proc. Finalise(b ): if b = b , return 1 Fig. 3. Game (φ, φ )-FV-RRA-ATK, where φ = (φ1 , . . , φq ) and φ = (φ1 , . . , φq ). (If ATK = CPA, then the adversary’s access to proc. ) by a vector of functions φ = (φ1 , . . , φq ), where q := q(λ) is polynomial in the security parameter λ, and the adversary may request encryption queries by submitting a tuple of the form (pk, m, i, j) to its Enc oracle. This tuple consists of a public key pk, a message m, an index i selecting the random value ri with which to encrypt, and an index j that selects the function φj that modifies the randomness ri before encryption.

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